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Finding the Fourth Proportional to 175.51, 262.99 and 111.25

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Solution

The fourth proportional to 175.51, 262.99 and 111.25 is: 166.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.51 : 262.99 = 111.25 : x
  2. Step 2: Convert to fraction form
    175.51/262.99 = 111.25/x
  3. Step 3: Cross multiply
    175.51x = 262.99 × 111.25
  4. Step 4: Simplify right side
    175.51x = 29,257.64
  5. Step 5: Solve for x
    x = 29,257.64/175.51
  6. Step 6: Final answer
    x = 166.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.